Calculating Areas of Rectangles and Triangles Together

A rectangular garden measures 10 meters by 5 meters. A triangular flower bed with a base of 5 meters and a height of 3 meters is placed on one side of the garden. What is the total area of the garden and the flower bed combined?

• 45 square meters

• 50 square meters

• 60 square meters

• 57.5 square meters

A swimming pool is in the shape of a rectangle measuring 12 meters by 8 meters. There is a triangular deck attached to one end of the pool with a base of 8 meters and a height of 4 meters. What is the total area of the pool and the deck?

• 96 m²

• 100 m²

• 112 m²

• 120 m²

A rectangular classroom is 15 feet long and 10 feet wide. A triangular reading nook with a base of 10 feet and a height of 5 feet is built in one corner. What is the total area of the classroom and the reading nook?

• 180 square feet

• 150 square feet

• 175 square feet

• 160 square feet

A park has a rectangular playground that is 20 meters long and 15 meters wide. There is a triangular picnic area with a base of 15 meters and a height of 6 meters adjacent to the playground. What is the total area of the playground and the picnic area?

• 300 square meters

• 180 square meters

• 345 square meters

• 250 square meters

A rectangular art studio is 14 feet by 10 feet. A triangular sculpture area with a base of 10 feet and a height of 4 feet is added to one side. What is the total area of the art studio and the sculpture area?

• 160 square feet

• 180 square feet

• 120 square feet

• 150 square feet

A rectangular driveway measures 18 feet by 9 feet. A triangular flower bed with a base of 9 feet and a height of 3 feet is located at one end of the driveway. What is the total area of the driveway and the flower bed?

• 150 square feet

• 175.5 square feet

• 200 square feet

• 162 square feet

A rectangular sports field is 30 meters long and 20 meters wide. A triangular scoreboard area with a base of 20 meters and a height of 10 meters is placed at one end. What is the total area of the sports field and the scoreboard area?

• 700 square meters

• 800 square meters

• 500 square meters

• 600 square meters

A rectangular kitchen is 12 feet by 8 feet. A triangular pantry with a base of 8 feet and a height of 3 feet is built into one corner. What is the total area of the kitchen and the pantry?

• 120 square feet

• 72 square feet

• 96 square feet

• 108 square feet

Tags

CCSS.6.G.A.1

A rectangular living room is 16 feet long and 12 feet wide. A triangular alcove with a base of 12 feet and a height of 5 feet is added to one side. What is the total area of the living room and the alcove?

• 150 square feet

• 222 square feet

• 200 square feet

• 180 square feet

Tags

CCSS.6.G.A.1

A rectangular office space measures 25 feet by 15 feet. A triangular meeting area with a base of 15 feet and a height of 6 feet is adjacent to the office. What is the total area of the office space and the meeting area?

• 420 square feet

• 300 square feet

• 450 square feet

• 360 square feet